Special Right Triangles Pythagorean Theorem SOHCAHTOA Angles of Elevation and Depression TRIG MISC

Question Find the missing variables:

Answer 1 – 10 18

Question Find the missing variable:

Answer 1 – 20 8

Question Find the missing variables:

Answer 1 – 30

Question Find the variables:

Answer 1 – 40

Question An equilateral has height of 26 cm. What is the length of one side (rounded to the nearest tenth).

Answer 1 – cm

Question Find the value of x. Express your answer in simplest radical form.

Answer 2 – 10

Question Determine if the triangle with sides of 3, 8 and 10 is acute, right, or obtuse

Answer 2 – 20 obtuse

Question Determine if the triangle with sides 12, 15, and 19 is acute, right, or obtuse.

Answer 2 – 30 acute

Question A repairman leans the top of an 8 foot ladder against the top of a stone wall. The base of the ladder is 5.5 feet from the wall. About how tall is the wall? Round to the nearest tenth of a foot.

Answer 2 – feet

Question The playing surface of a football field is 300 feet long and 160 feet wide. If a player runs from one corner of the field to the opposite corner, how many feet does he run?

Answer 2 – feet

Question Find the missing value. Round to the nearest tenth.

Answer 3 –

Question Find the missing value. Round lengths to the nearest tenth and angles to the nearest degree.

Answer 3 – 20 w = 2.6 and x = 26

Question Find the value of x. Round to the nearest degree.

Answer 3 – 30 63

Question An escalator at a shopping center is 200 feet 9 inches long, and rises at an angle of 15 degrees. What is the vertical rise of the escalator? Round to the nearest inch.

Answer 3 – inches

Question The lengths of the diagonals of a rhombus are 4 inches and 7 inches. Find the measures of the angles to the nearest degree.

Answer 3 – and 121

Question A person can see the top of a building at an angle of 65 degrees. The person is standing 50 feet away from the building and has an eye level of 5 feet. How tall is the building to the nearest tenth of a foot?

Answer 4 – feet

Question A fire ranger on a 150 foot tall tower spots a fire at a 30 degree angle of depression. How many feet away from the tower is the fire to the nearest tenth?

Answer 4 – feet

Question A wildlife biologist looks up at a 78 degree angle of elevation to see a flock of geese in the air. The biologist is standing 200 feet away from a place directly underneath the geese. How high are the geese flying, to the nearest tenth of a foot?

Answer 4 – feet

Question You stand 40 feet from a tree. The angle of elevation from your eyes (5 feet above the ground) to the top of the tree is 47 degrees. How tall is the tree? Round your answer to the nearest foot.

Answer 4 – feet

Question A tourist looks out from the crown of the Statue of Liberty, approximately 250 feet above ground. The tourist sees a ship coming into the harbor and measures the angle of depression as 18 degrees. Find the distance from the base of the statue to the ship to the nearest foot.

Answer 4 – feet

Question While flying a kite, Linda lets out 45 feet of string and anchors it to the ground. She determines that the angle of elevation of the kite is 58 degrees. What is the height of the kite from the ground? Round to the nearest tenth.

Answer 5 – feet

Question True or false: In Triangle ABC with B being the right angle, cos A = sin C.

Answer 5 – 20 true

Question True or false: If x is an acute angle in a right triangle, cos x = sin (90 – x )

Answer 5 – 30 true

Question A square garden has sides 50 feet long. You stretch a hose from one corner to the other corner of the garden along the garden’s diagonal. To the nearest tenth, how long is the hose?

Answer 5 – feet

Question In Triangle HTQ, if m<H = 72 and m<Q = 55, what is the correct order of the lengths of the sides from least to greatest?

Answer 5 – 50 HQ, HT, TQ